| 1 | !OPTIONS XOPT(HSFUN) |
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| 2 | SUBROUTINE LWTTM ( KIDIA, KFDIA, KLON, PGA , PGB, PUU1 , PUU2 , PTT ) |
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| 3 | |
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| 4 | !**** *LWTTM* - LONGWAVE TRANSMISSION FUNCTIONS |
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| 5 | |
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| 6 | ! PURPOSE. |
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| 7 | ! -------- |
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| 8 | ! THIS ROUTINE COMPUTES THE TRANSMISSION FUNCTIONS FOR ALL THE |
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| 9 | ! ABSORBERS (H2O, UNIFORMLY MIXED GASES, AND O3) IN ALL SIX SPECTRAL |
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| 10 | ! INTERVALS. |
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| 11 | |
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| 12 | !** INTERFACE. |
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| 13 | ! ---------- |
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| 14 | ! *LWTTM* IS CALLED FROM *LWVD* |
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| 15 | |
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| 16 | ! EXPLICIT ARGUMENTS : |
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| 17 | ! -------------------- |
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| 18 | ! ==== INPUTS === |
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| 19 | ! PGA, PGB ; PADE APPROXIMANTS |
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| 20 | ! PUU1 : (KLON,NUA) ; ABSORBER AMOUNTS FROM TOP TO LEVEL 1 |
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| 21 | ! PUU2 : (KLON,NUA) ; ABSORBER AMOUNTS FROM TOP TO LEVEL 2 |
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| 22 | ! ==== OUTPUTS === |
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| 23 | ! PTT : (KLON,NTRA) ; TRANSMISSION FUNCTIONS |
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| 24 | |
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| 25 | ! IMPLICIT ARGUMENTS : NONE |
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| 26 | ! -------------------- |
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| 27 | |
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| 28 | ! METHOD. |
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| 29 | ! ------- |
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| 30 | |
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| 31 | ! 1. TRANSMISSION FUNCTION BY H2O AND UNIFORMLY MIXED GASES ARE |
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| 32 | ! COMPUTED USING PADE APPROXIMANTS AND HORNER'S ALGORITHM. |
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| 33 | ! 2. TRANSMISSION BY O3 IS EVALUATED WITH MALKMUS'S BAND MODEL. |
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| 34 | ! 3. TRANSMISSION BY H2O CONTINUUM AND AEROSOLS FOLLOW AN |
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| 35 | ! A SIMPLE EXPONENTIAL DECREASE WITH ABSORBER AMOUNT. |
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| 36 | |
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| 37 | ! EXTERNALS. |
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| 38 | ! ---------- |
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| 39 | |
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| 40 | ! NONE |
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| 41 | |
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| 42 | ! REFERENCE. |
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| 43 | ! ---------- |
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| 44 | |
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| 45 | ! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
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| 46 | ! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
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| 47 | |
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| 48 | ! AUTHOR. |
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| 49 | ! ------- |
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| 50 | ! JEAN-JACQUES MORCRETTE *ECMWF* |
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| 51 | |
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| 52 | ! MODIFICATIONS. |
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| 53 | ! -------------- |
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| 54 | ! ORIGINAL : 88-12-15 |
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| 55 | ! 97-04-18 JJ Morcrette Revised continuum |
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| 56 | ! M.Hamrud 01-Oct-2003 CY28 Cleaning |
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| 57 | |
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| 58 | !----------------------------------------------------------------------- |
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| 59 | |
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| 60 | USE PARKIND1 ,ONLY : JPIM ,JPRB |
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| 61 | USE YOMHOOK ,ONLY : LHOOK, DR_HOOK |
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| 62 | |
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| 63 | USE YOELW , ONLY : NTRA ,NUA ,RPTYPE ,RETYPE ,& |
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| 64 | & RO1H ,RO2H ,RPIALF0 |
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| 65 | |
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| 66 | IMPLICIT NONE |
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| 67 | |
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| 68 | INTEGER(KIND=JPIM),INTENT(IN) :: KLON |
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| 69 | INTEGER(KIND=JPIM),INTENT(IN) :: KIDIA |
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| 70 | INTEGER(KIND=JPIM),INTENT(IN) :: KFDIA |
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| 71 | REAL(KIND=JPRB) ,INTENT(IN) :: PGA(KLON,8,2) |
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| 72 | REAL(KIND=JPRB) ,INTENT(IN) :: PGB(KLON,8,2) |
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| 73 | REAL(KIND=JPRB) ,INTENT(IN) :: PUU1(KLON,NUA) |
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| 74 | REAL(KIND=JPRB) ,INTENT(IN) :: PUU2(KLON,NUA) |
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| 75 | REAL(KIND=JPRB) ,INTENT(OUT) :: PTT(KLON,NTRA) |
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| 76 | ! ------------------------------------------------------------------ |
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| 77 | |
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| 78 | !* 0.1 ARGUMENTS |
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| 79 | ! --------- |
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| 80 | |
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| 81 | INTEGER(KIND=JPIM) :: JA, JL |
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| 82 | |
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| 83 | REAL(KIND=JPRB) :: ZA11, ZA12, ZAERCN, ZEU, ZEU10, ZEU11, ZEU12,& |
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| 84 | & ZEU13, ZODH41, ZODH42, ZODN21, ZODN22, ZPU, & |
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| 85 | & ZPU10, ZPU11, ZPU12, ZPU13, ZSQ1, ZSQ2, ZSQH41, & |
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| 86 | & ZSQH42, ZSQN21, ZSQN22, ZTO1, ZTO2, ZTTF11, & |
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| 87 | & ZTTF12, ZUU11, ZUU12, ZUXY, ZVXY, ZX, ZXCH4, & |
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| 88 | & ZXD, ZXN, ZXN2O, ZY, ZYCH4, ZYN2O, ZZ |
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| 89 | REAL(KIND=JPRB) :: ZHOOK_HANDLE |
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| 90 | |
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| 91 | ! ------------------------------------------------------------------ |
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| 92 | !DIR$ VFUNCTION SQRTHF |
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| 93 | |
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| 94 | !* 1. HORNER'S ALGORITHM FOR H2O AND CO2 TRANSMISSION |
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| 95 | ! ----------------------------------------------- |
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| 96 | |
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| 97 | IF (LHOOK) CALL DR_HOOK('LWTTM',0,ZHOOK_HANDLE) |
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| 98 | DO JA = 1 , 8 |
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| 99 | DO JL = KIDIA,KFDIA |
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| 100 | ZZ = SQRT(PUU1(JL,JA) - PUU2(JL,JA)) |
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| 101 | ZXD = PGB( JL,JA,1) + ZZ * (PGB( JL,JA,2) + ZZ ) |
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| 102 | ZXN = PGA( JL,JA,1) + ZZ * (PGA( JL,JA,2) ) |
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| 103 | PTT(JL,JA) = ZXN / ZXD |
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| 104 | ENDDO |
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| 105 | ENDDO |
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| 106 | |
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| 107 | DO JL = KIDIA,KFDIA |
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| 108 | PTT(JL,3)=MAX(PTT(JL,3),0.0_JPRB) |
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| 109 | ENDDO |
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| 110 | ! ------------------------------------------------------------------ |
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| 111 | |
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| 112 | !* 2. CONTINUUM, OZONE AND AEROSOL TRANSMISSION FUNCTIONS |
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| 113 | ! --------------------------------------------------- |
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| 114 | |
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| 115 | DO JL = KIDIA,KFDIA |
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| 116 | PTT(JL, 9) = PTT(JL, 8) |
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| 117 | |
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| 118 | !- CONTINUUM ABSORPTION: E- AND P-TYPE |
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| 119 | |
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| 120 | ZPU = (PUU1(JL,10) - PUU2(JL,10)) |
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| 121 | ZPU10 = RPTYPE(1) * ZPU |
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| 122 | ZPU11 = RPTYPE(2) * ZPU |
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| 123 | ZPU12 = RPTYPE(3) * ZPU |
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| 124 | ZPU13 = RPTYPE(4) * ZPU |
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| 125 | ZEU = (PUU1(JL,11) - PUU2(JL,11)) |
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| 126 | ZEU10 = RETYPE(1) * ZEU |
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| 127 | ZEU11 = RETYPE(2) * ZEU |
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| 128 | ZEU12 = RETYPE(3) * ZEU |
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| 129 | ZEU13 = RETYPE(4) * ZEU |
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| 130 | |
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| 131 | !- OZONE ABSORPTION |
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| 132 | |
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| 133 | ZX = (PUU1(JL,12) - PUU2(JL,12)) |
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| 134 | ZY = (PUU1(JL,13) - PUU2(JL,13)) |
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| 135 | ZUXY = 4._JPRB * ZX * ZX / (RPIALF0 * ZY) |
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| 136 | ZSQ1 = SQRT(1.0_JPRB + RO1H * ZUXY ) - 1.0_JPRB |
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| 137 | ZSQ2 = SQRT(1.0_JPRB + RO2H * ZUXY ) - 1.0_JPRB |
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| 138 | ZVXY = RPIALF0 * ZY / (2.0_JPRB * ZX) |
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| 139 | ZAERCN = (PUU1(JL,17) -PUU2(JL,17)) + ZEU12 + ZPU12 |
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| 140 | ZTO1 = EXP( - ZVXY * ZSQ1 - ZAERCN ) |
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| 141 | ZTO2 = EXP( - ZVXY * ZSQ2 - ZAERCN ) |
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| 142 | |
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| 143 | !-- TRACE GASES (CH4, N2O, CFC-11, CFC-12) |
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| 144 | |
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| 145 | !* CH4 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 146 | |
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| 147 | ZXCH4 = (PUU1(JL,19) - PUU2(JL,19)) |
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| 148 | ZYCH4 = (PUU1(JL,20) - PUU2(JL,20)) |
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| 149 | ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.103_JPRB*ZYCH4) |
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| 150 | ZSQH41 = SQRT(1.0_JPRB + 33.7_JPRB * ZUXY) - 1.0_JPRB |
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| 151 | ZVXY = 0.103_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) |
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| 152 | ZODH41 = ZVXY * ZSQH41 |
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| 153 | |
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| 154 | !* N2O IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 155 | |
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| 156 | ZXN2O = (PUU1(JL,21) - PUU2(JL,21)) |
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| 157 | ZYN2O = (PUU1(JL,22) - PUU2(JL,22)) |
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| 158 | ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.416_JPRB*ZYN2O) |
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| 159 | ZSQN21 = SQRT(1.0_JPRB + 21.3_JPRB * ZUXY) - 1.0_JPRB |
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| 160 | ZVXY = 0.416_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) |
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| 161 | ZODN21 = ZVXY * ZSQN21 |
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| 162 | |
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| 163 | !* CH4 IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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| 164 | |
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| 165 | ZUXY = 4._JPRB * ZXCH4*ZXCH4/(0.113_JPRB*ZYCH4) |
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| 166 | ZSQH42 = SQRT(1.0_JPRB + 400._JPRB * ZUXY) - 1.0_JPRB |
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| 167 | ZVXY = 0.113_JPRB * ZYCH4 / (2.0_JPRB * ZXCH4) |
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| 168 | ZODH42 = ZVXY * ZSQH42 |
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| 169 | |
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| 170 | !* N2O IN INTERVAL 1250-1450 + 1880-2820 CM-1 |
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| 171 | |
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| 172 | ZUXY = 4._JPRB * ZXN2O*ZXN2O/(0.197_JPRB*ZYN2O) |
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| 173 | ZSQN22 = SQRT(1.0_JPRB + 2000._JPRB * ZUXY) - 1.0_JPRB |
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| 174 | ZVXY = 0.197_JPRB * ZYN2O / (2.0_JPRB * ZXN2O) |
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| 175 | ZODN22 = ZVXY * ZSQN22 |
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| 176 | |
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| 177 | !* CFC-11 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 178 | |
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| 179 | ZA11 = (PUU1(JL,23) - PUU2(JL,23)) * 4.404E+05_JPRB |
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| 180 | ZTTF11 = 1.0_JPRB - ZA11 * 0.003225_JPRB |
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| 181 | |
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| 182 | !* CFC-12 IN INTERVAL 800-970 + 1110-1250 CM-1 |
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| 183 | |
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| 184 | ZA12 = (PUU1(JL,24) - PUU2(JL,24)) * 6.7435E+05_JPRB |
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| 185 | ZTTF12 = 1.0_JPRB - ZA12 * 0.003225_JPRB |
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| 186 | |
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| 187 | ZUU11 = - (PUU1(JL,15) - PUU2(JL,15)) - ZEU10 - ZPU10 |
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| 188 | ZUU12 = - (PUU1(JL,16) - PUU2(JL,16)) - ZEU11 - ZPU11 -ZODH41 - ZODN21 |
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| 189 | PTT(JL,10) = EXP( - (PUU1(JL,14)- PUU2(JL,14)) ) |
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| 190 | PTT(JL,11) = EXP( ZUU11 ) |
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| 191 | PTT(JL,12) = EXP( ZUU12 ) * ZTTF11 * ZTTF12 |
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| 192 | PTT(JL,13) = 0.7554_JPRB * ZTO1 + 0.2446_JPRB * ZTO2 |
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| 193 | PTT(JL,14) = PTT(JL,10) * EXP( - ZEU13 - ZPU13 ) |
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| 194 | PTT(JL,15) = EXP( - (PUU1(JL,14) - PUU2(JL,14)) - ZODH42-ZODN22 ) |
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| 195 | |
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| 196 | ENDDO |
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| 197 | |
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| 198 | IF (LHOOK) CALL DR_HOOK('LWTTM',1,ZHOOK_HANDLE) |
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| 199 | END SUBROUTINE LWTTM |
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